4.08(x+10)=9.50(x-2)

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Solution for 4.08(x+10)=9.50(x-2) equation: 


Simplifying
4.08(x + 10) = 9.50(x + -2)

Reorder the terms:
4.08(10 + x) = 9.50(x + -2)
(10 * 4.08 + x * 4.08) = 9.50(x + -2)
(40.8 + 4.08x) = 9.50(x + -2)

Reorder the terms:
40.8 + 4.08x = 9.50(-2 + x)
40.8 + 4.08x = (-2 * 9.50 + x * 9.50)
40.8 + 4.08x = (-19 + 9.50x)

Solving
40.8 + 4.08x = -19 + 9.50x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9.50x' to each side of the equation.
40.8 + 4.08x + -9.50x = -19 + 9.50x + -9.50x

Combine like terms: 4.08x + -9.50x = -5.42x
40.8 + -5.42x = -19 + 9.50x + -9.50x

Combine like terms: 9.50x + -9.50x = 0.00
40.8 + -5.42x = -19 + 0.00
40.8 + -5.42x = -19

Add '-40.8' to each side of the equation.
40.8 + -40.8 + -5.42x = -19 + -40.8

Combine like terms: 40.8 + -40.8 = 0.0
0.0 + -5.42x = -19 + -40.8
-5.42x = -19 + -40.8

Combine like terms: -19 + -40.8 = -59.8
-5.42x = -59.8

Divide each side by '-5.42'.
x = 11.03321033

Simplifying
x = 11.03321033

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